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Finding the Fourth Proportional to 12,871.91, 17,771.81 and 9,882.41

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Solution

The fourth proportional to 12,871.91, 17,771.81 and 9,882.41 is: 13,644.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,871.91 : 17,771.81 = 9,882.41 : x
  2. Step 2: Convert to fraction form
    12,871.91/17,771.81 = 9,882.41/x
  3. Step 3: Cross multiply
    12,871.91x = 17,771.81 × 9,882.41
  4. Step 4: Simplify right side
    12,871.91x = 175,628,174.59
  5. Step 5: Solve for x
    x = 175,628,174.59/12,871.91
  6. Step 6: Final answer
    x = 13,644.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.